Mathematical Models with Singularities A Zoo of Singular Creatures
Başlık:
Mathematical Models with Singularities A Zoo of Singular Creatures
ISBN:
9789462391062
Personal Author:
Edition:
1st ed. 2015.
Yayın Bilgileri:
Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Fiziksel Tanımlama:
XIII, 124 p. 16 illus., 7 illus. in color. online resource.
Series:
Atlantis Briefs in Differential Equations, 1
Contents:
Motion of charged particles in a line -- An electrostatically actuated micro-electro-mechanical system -- Forced Keplerian-like systems -- Particles under a central force field -- Bose-Einstein condensates and signal transmission in optical fibers -- Electron beam focusing by means of a periodic magnetic field -- Point vortex dynamics -- Pumping effect in a pipe/tank flow configuration -- Radial oscillations of a bubble in a time-periodic pressure field -- Radial oscillations of cylindrical and spherical shells -- A model for cell volume regulation.
Abstract:
The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
Ek Kurum Yazarı:
Dil:
English